Length of Slip Plane given Cohesive Force along Slip Plane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Slip Plane = Cohesive Force in KN/Mobilized Cohesion in Kilopascal
L = Fc/Cmob
This formula uses 3 Variables
Variables Used
Length of Slip Plane - (Measured in Meter) - Length of Slip Plane is the length of plane along which failure may occur.
Cohesive Force in KN - (Measured in Newton) - Cohesive Force in KN is a generic term for the collective intermolecular forces in KN.
Mobilized Cohesion in Kilopascal - (Measured in Pascal) - Mobilized Cohesion in Kilopascal is the amount of cohesion that is resisting the shear stress.
STEP 1: Convert Input(s) to Base Unit
Cohesive Force in KN: 1.5 Kilonewton --> 1500 Newton (Check conversion here)
Mobilized Cohesion in Kilopascal: 0.3 Kilopascal --> 300 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = Fc/Cmob --> 1500/300
Evaluating ... ...
L = 5
STEP 3: Convert Result to Output's Unit
5 Meter --> No Conversion Required
FINAL ANSWER
5 Meter <-- Length of Slip Plane
(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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25 Slope Stability Analysis using Culman's Method Calculators

Height from Toe of Wedge to Top of Wedge given Factor of Safety
Go Height from Toe of Wedge to Top of Wedge = (Effective Cohesion in Geotech as Kilopascal/((1/2)*(Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Critical Slope Angle in Soil Mechanics*pi)/180)))* Unit Weight of Soil*(sin(((Angle of Inclination to Horizontal in Soil-Critical Slope Angle in Soil Mechanics)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Critical Slope Angle in Soil Mechanics*pi)/180)))
Cohesion of Soil given Angle of Inclination and Slope angle
Go Effective Cohesion in Geotech as Kilopascal = (Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Slope Angle*pi)/180)))*((1/2)*Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge*(sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Slope Angle*pi)/180))
Mobilized Cohesion given Angle of Mobilized Friction
Go Mobilized Cohesion in Soil Mechanics = (0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle in Soil Mechanics)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))*(Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge)
Height from Toe to Top of Wedge given Angle of Mobilized Friction
Go Height from Toe of Wedge to Top of Wedge = Mobilized Cohesion in Soil Mechanics/(0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180)*Unit Weight of Soil)
Mobilized Cohesion given Safe Height from Toe to Top of Wedge
Go Mobilized Cohesion in Kilopascal = Height from Toe of Wedge to Top of Wedge/(4*sin((Angle of Inclination in Soil Mechanics*pi)/180)*cos((Angle of Mobilized Friction in Soil Mechanics*pi)/180))/(Unit Weight of Water in Soil Mechanics*(1-cos(((Angle of Inclination in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180)))
Safe Height from Toe to Top of Wedge
Go Height from Toe of Wedge to Top of Wedge = (4*Mobilized Cohesion in Soil Mechanics*sin((Angle of Inclination to Horizontal in Soil*pi)/180)*cos((Angle of Mobilized Friction in Soil Mechanics*pi)/180))/(Unit Weight of Soil*(1-cos(((Angle of Inclination to Horizontal in Soil-Angle of Mobilized Friction in Soil Mechanics)*pi)/180)))
Factor of Safety given Length of Slip Plane
Go Factor of Safety in Soil Mechanics = ((Cohesion in Soil*Length of Slip Plane)/(Weight of Wedge in Newton*sin((Critical Slope Angle in Soil Mechanics*pi)/180)))+(tan((Angle of Internal Friction*pi)/180)/tan((Critical Slope Angle in Soil Mechanics*pi)/180))
Height from Toe of Wedge to Top of Wedge given Weight of Wedge
Go Height from Toe of Wedge to Top of Wedge = Weight of Wedge in Kilonewton/((Unit Weight of Soil*Length of Slip Plane*(sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180)))/(2*sin((Angle of Inclination in Soil Mechanics*pi)/180)))
Length of Slip Plane given Shear Strength along Slip Plane
Go Length of Slip Plane = (Shear Strength of Soil-(Weight of Wedge*cos((Slope Angle in Soil Mechanics*pi)/180)*tan((Angle of Internal Friction*pi)/180)))/Cohesion in Soil
Height from Toe of Wedge to Top of Wedge
Go Height from Toe of Wedge to Top of Wedge = Height of Wedge/((sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180))/sin((Angle of Inclination in Soil Mechanics*pi)/180))
Height of Wedge of Soil given Angle of Inclination and Slope angle
Go Height of Wedge = (Height from Toe of Wedge to Top of Wedge*sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180))/sin((Angle of Inclination in Soil Mechanics*pi)/180)
Shear Strength along Slip Plane
Go Shear Strength = (Cohesion of Soil*Length of Slip Plane)+(Weight of Wedge*cos((Slope Angle*pi)/180)*tan((Angle of Internal Friction*pi)/180))
Slope Angle given Shear Strength along Slip Plane
Go Slope Angle in Soil Mechanics = acos((Shear Strength-(Cohesion of Soil*Length of Slip Plane))/(Weight of Wedge in Newton*tan((Angle of Internal Friction*pi)/180)))
Angle of Internal Friction given Effective Normal Stress
Go Angle of Internal Friction of Soil = atan((Factor of Safety in Soil Mechanics*Shear Stress of Soil in Megapascal)/Effective Normal Stress of Soil in Megapascal)
Slope Angle given Shear Stress along Slip Plane
Go Slope Angle in Soil Mechanics = asin(Average Shear Stress on Shear Plane in Soil Mech/Weight of Wedge in Newton)
Length of Slip Plane given Weight of Wedge of Soil
Go Length of Slip Plane = Weight of Wedge in Kilonewton/((Height of Wedge*Unit Weight of Soil)/2)
Height of Wedge of Soil given Weight of Wedge
Go Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*Unit Weight of Soil)/2)
Unit Weight of Soil given Weight of Wedge
Go Unit Weight of Soil = Weight of Wedge in Kilonewton/((Length of Slip Plane*Height of Wedge)/2)
Weight of Wedge of Soil
Go Weight of Wedge in Kilonewton = (Length of Slip Plane*Height of Wedge*Unit Weight of Soil)/2
Angle of Mobilized Friction given Critical Slope Angle
Go Angle of Mobilized Friction = (2*Critical Slope Angle in Soil Mechanics)-Angle of Inclination to Horizontal in Soil
Critical Slope Angle given Angle of Inclination
Go Critical Slope Angle in Soil Mechanics = (Angle of Inclination to Horizontal in Soil+Angle of Mobilized Friction)/2
Angle of Inclination given Critical Slope Angle
Go Angle of Inclination to Horizontal in Soil = (2*Critical Slope Angle in Soil Mechanics)-Angle of Mobilized Friction
Mobilized Cohesion given Cohesive Force along Slip Plane
Go Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane
Cohesive Force along Slip Plane
Go Cohesive Force in KN = Mobilized Cohesion in Soil Mechanics*Length of Slip Plane
Length of Slip Plane given Cohesive Force along Slip Plane
Go Length of Slip Plane = Cohesive Force in KN/Mobilized Cohesion in Kilopascal

Length of Slip Plane given Cohesive Force along Slip Plane Formula

Length of Slip Plane = Cohesive Force in KN/Mobilized Cohesion in Kilopascal
L = Fc/Cmob

What is Slip Plane?

Slip is the large displacement of one part of a crystal relative to another part along crystallographic planes and directions. Slip occurs by the passage of dislocations on close packed planes which are planes containing the greatest number of atoms per area and in close-packed directions.

How to Calculate Length of Slip Plane given Cohesive Force along Slip Plane?

Length of Slip Plane given Cohesive Force along Slip Plane calculator uses Length of Slip Plane = Cohesive Force in KN/Mobilized Cohesion in Kilopascal to calculate the Length of Slip Plane, The Length of Slip Plane given Cohesive Force along Slip Plane is defined as the value of length of slip plane when we have prior information of other parameters used. Length of Slip Plane is denoted by L symbol.

How to calculate Length of Slip Plane given Cohesive Force along Slip Plane using this online calculator? To use this online calculator for Length of Slip Plane given Cohesive Force along Slip Plane, enter Cohesive Force in KN (Fc) & Mobilized Cohesion in Kilopascal (Cmob) and hit the calculate button. Here is how the Length of Slip Plane given Cohesive Force along Slip Plane calculation can be explained with given input values -> 5 = 1500/300.

FAQ

What is Length of Slip Plane given Cohesive Force along Slip Plane?
The Length of Slip Plane given Cohesive Force along Slip Plane is defined as the value of length of slip plane when we have prior information of other parameters used and is represented as L = Fc/Cmob or Length of Slip Plane = Cohesive Force in KN/Mobilized Cohesion in Kilopascal. Cohesive Force in KN is a generic term for the collective intermolecular forces in KN & Mobilized Cohesion in Kilopascal is the amount of cohesion that is resisting the shear stress.
How to calculate Length of Slip Plane given Cohesive Force along Slip Plane?
The Length of Slip Plane given Cohesive Force along Slip Plane is defined as the value of length of slip plane when we have prior information of other parameters used is calculated using Length of Slip Plane = Cohesive Force in KN/Mobilized Cohesion in Kilopascal. To calculate Length of Slip Plane given Cohesive Force along Slip Plane, you need Cohesive Force in KN (Fc) & Mobilized Cohesion in Kilopascal (Cmob). With our tool, you need to enter the respective value for Cohesive Force in KN & Mobilized Cohesion in Kilopascal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Length of Slip Plane?
In this formula, Length of Slip Plane uses Cohesive Force in KN & Mobilized Cohesion in Kilopascal. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Length of Slip Plane = Weight of Wedge in Kilonewton/((Height of Wedge*Unit Weight of Soil)/2)
  • Length of Slip Plane = (Shear Strength of Soil-(Weight of Wedge*cos((Slope Angle in Soil Mechanics*pi)/180)*tan((Angle of Internal Friction*pi)/180)))/Cohesion in Soil
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